Q: What are the factor combinations of the number 377,825?

 A:
Positive:   1 x 3778255 x 755657 x 5397517 x 2222525 x 1511335 x 1079585 x 4445119 x 3175127 x 2975175 x 2159425 x 889595 x 635
Negative: -1 x -377825-5 x -75565-7 x -53975-17 x -22225-25 x -15113-35 x -10795-85 x -4445-119 x -3175-127 x -2975-175 x -2159-425 x -889-595 x -635


How do I find the factor combinations of the number 377,825?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 377,825, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 377,825
-1 -377,825

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 377,825.

Example:
1 x 377,825 = 377,825
and
-1 x -377,825 = 377,825
Notice both answers equal 377,825

With that explanation out of the way, let's continue. Next, we take the number 377,825 and divide it by 2:

377,825 ÷ 2 = 188,912.5

If the quotient is a whole number, then 2 and 188,912.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 377,825
-1 -377,825

Now, we try dividing 377,825 by 3:

377,825 ÷ 3 = 125,941.6667

If the quotient is a whole number, then 3 and 125,941.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 377,825
-1 -377,825

Let's try dividing by 4:

377,825 ÷ 4 = 94,456.25

If the quotient is a whole number, then 4 and 94,456.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 377,825
-1 377,825
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

157172535851191271754255956358892,1592,9753,1754,44510,79515,11322,22553,97575,565377,825
-1-5-7-17-25-35-85-119-127-175-425-595-635-889-2,159-2,975-3,175-4,445-10,795-15,113-22,225-53,975-75,565-377,825

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